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Finding the Fourth Proportional to 71,136.14, 106,701.78 and 33,714.14

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Solution

The fourth proportional to 71,136.14, 106,701.78 and 33,714.14 is: 50,570.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,136.14 : 106,701.78 = 33,714.14 : x
  2. Step 2: Convert to fraction form
    71,136.14/106,701.78 = 33,714.14/x
  3. Step 3: Cross multiply
    71,136.14x = 106,701.78 × 33,714.14
  4. Step 4: Simplify right side
    71,136.14x = 3,597,358,749.17
  5. Step 5: Solve for x
    x = 3,597,358,749.17/71,136.14
  6. Step 6: Final answer
    x = 50,570.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.